What is the Greatest Common Factor of 62304 and 62321?

Greatest common factor (GCF) of 62304 and 62321 is 1.

GCF(62304,62321) = 1

We will now calculate the prime factors of 62304 and 62321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62304 and 62321.

How to find the GCF of 62304 and 62321?

We will first find the prime factorization of 62304 and 62321. After we will calculate the factors of 62304 and 62321 and find the biggest common factor number .

Step-1: Prime Factorization of 62304

Prime factors of 62304 are 2, 3, 11, 59. Prime factorization of 62304 in exponential form is:

62304 = 2⁵ × 3¹ × 11¹ × 59¹

Step-2: Prime Factorization of 62321

Prime factors of 62321 are 7, 29, 307. Prime factorization of 62321 in exponential form is:

62321 = 7¹ × 29¹ × 307¹

Step-3: Factors of 62304

List of positive integer factors of 62304 that divides 62304 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 59, 66, 88, 96, 118, 132, 176, 177, 236, 264, 352, 354, 472, 528, 649, 708, 944, 1056, 1298, 1416, 1888, 1947, 2596, 2832, 3894, 5192, 5664, 7788, 10384, 15576, 20768, 31152

Step-4: Factors of 62321

List of positive integer factors of 62321 that divides 62304 without a remainder.

1, 7, 29, 203, 307, 2149, 8903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62304 and 62321. The biggest common factor number is the GCF number.
So the greatest common factor 62304 and 62321 is 1.

Also check out the Least Common Multiple of 62304 and 62321